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Finding the Third Proportional to 252,531 and 561,116.25

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Solution

The third proportional to 252,531 and 561,116.25 is: 1,246,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,531 : 561,116.25 = 561,116.25 : x
  2. Step 2: Convert to fraction form
    252,531/561,116.25 = 561,116.25/x
  3. Step 3: Cross multiply
    252,531x = 561,116.25 × 561,116.25
  4. Step 4: Simplify right side
    252,531x = 314,851,446,014.06
  5. Step 5: Solve for x
    x = 314,851,446,014.06/252,531
  6. Step 6: Final answer
    x = 1,246,783.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.